1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sedbober [7]
3 years ago
15

4. *Each pair of polygons is similar. Find the value of x.

Mathematics
1 answer:
torisob [31]3 years ago
3 0

Step-by-step explanation:

since both objects and sides are similar, you can set each side equal, then you cross multiply, and do subtraction, then find x.

You might be interested in
In the equation f(x) = 5x + 6,6 is called?
Vikentia [17]

Answer:

the y-intercept

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 deg
julia-pushkina [17]

Answer:

Approximately 101\; \rm ft (assuming that the height of the base of the hill is the same as that of the observer.)

Step-by-step explanation:

Refer to the diagram attached.

  • Let \rm O denote the observer.
  • Let \rm A denote the top of the tree.
  • Let \rm R denote the base of the tree.
  • Let \rm B denote the point where line \rm AR (a vertical line) and the horizontal line going through \rm O meets. \angle \rm B\hat{A}R = 90^\circ.

Angles:

  • Angle of elevation of the base of the tree as it appears to the observer: \angle \rm B\hat{O}R = 51^\circ.
  • Angle of elevation of the top of the tree as it appears to the observer: \angle \rm B\hat{O}A = 57^\circ.

Let the length of segment \rm BR (vertical distance between the base of the tree and the base of the hill) be x\; \rm ft.

The question is asking for the length of segment \rm AB. Notice that the length of this segment is \mathrm{AB} = (x + 20)\; \rm ft.

The length of segment \rm OB could be represented in two ways:

  • In right triangle \rm \triangle OBR as the side adjacent to \angle \rm B\hat{O}R = 51^\circ.
  • In right triangle \rm \triangle OBA as the side adjacent to \angle \rm B\hat{O}A = 57^\circ.

For example, in right triangle \rm \triangle OBR, the length of the side opposite to \angle \rm B\hat{O}R = 51^\circ is segment \rm BR. The length of that segment is x\; \rm ft.

\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}.

Rearrange to find an expression for the length of \rm OB (in \rm ft) in terms of x:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}.

Similarly, in right triangle \rm \triangle OBA:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}.

Equate the right-hand side of these two equations:

0.810\, x \approx 0.649\, (x + 20).

Solve for x:

x \approx 81\; \rm ft.

Hence, the height of the top of this tree relative to the base of the hill would be (x + 20)\; {\rm ft}\approx 101\; \rm ft.

6 0
3 years ago
Solve for x give answer as radicals (roots)
skelet666 [1.2K]

Answer:

x = 15

Step-by-step explanation:

Use pythagorean theorem: a^{2} +b^{2} = c^{2}

8^{2} +x^{2} =17^{2} \\ 64 + x^{2} = 289 \\\\x^{2} = 289 - 64\\x^{2} = 225\\x = 15

8 0
3 years ago
Larry graphs the inequality x less-than negative 5 using the steps below. Step 1: Draw a number line, and place an open circle a
Yakvenalex [24]

Answer:

<h2>YOUR CORRECT ANSWER'S (D.)</h2>

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What's the difference between 4.5 and -3.5​
suter [353]

Answer:

4.5 and -3.5 are different numbers for one then on is positive and one is negative

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Solve for X. I can't seem to figure out how to isolate the X. The answers of course are X = 0,2 but I need to know the process.
    13·1 answer
  • a person who is at least 65 years old is often considered a senior citizen. Write an inequality that represents this situation
    13·1 answer
  • 3x-y=5 write the linear equation in slope-intercept form given
    10·1 answer
  • Perform the indicated operation. (36m 2 - 60m + 25) ÷ (6m - 5)
    14·1 answer
  • Howww???? <br> Answer??????
    5·2 answers
  • Solve the equation below :<br><br> 7 – 9x – 15 + 12x
    8·2 answers
  • The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
    11·2 answers
  • JWHVDJVdqwycwykcdlucdlwwdy
    11·2 answers
  • Kato has four groups of friends on a social media site. They are Family(6 friends), Judo (11 friends), School (14 friends). Dram
    5·2 answers
  • 5#The distribution of scores on a standardized aptitude test is approximately normal with a mean of 480 and a standard deviation
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!